Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
268 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 107 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #19097817 | C2 | semidirect |
| 2. #19097797 | C2 | semidirect |
| 3. #19097796 | C2 | semidirect |
| 4. #19097791 | C2 | semidirect |
| 5. C2×#14578939 | C2 | semidirect |
| 6. #19097778 | C2 | semidirect |
| 7. H(5,𝔽2)×C157 | C2 | semidirect |
| 9. #14578954 | C22 | semidirect |
| 10. C2×D628 | C22 | semidirect |
| 12. #14578944 | C22 | semidirect |
| 13. #14578942 | C22 | semidirect |
| 14. #14578941 | C22 | semidirect |
| 15. #14578939 | C22 | semidirect |
| 16. #14578939 | C22 | semidirect |
| 17. #14578938 | C22 | semidirect |
| 18. C2×#11929434 | C22 | semidirect |
| 21. #41×C157 | C22 | semidirect |
| 23. C2×D4×C157 | C22 | semidirect |
| 54. C157 | #576 | semidirect |
| 57. H(5,𝔽2) | D157 | semidirect |
| 67. #41 | C2×D157 | semidirect |
| 71. C2×D4 | C2×D157 | semidirect |